107812080 has 320 divisors, whose sum is σ = 407116800. Its totient is φ = 26127360.

The previous prime is 107811997. The next prime is 107812091. The reversal of 107812080 is 80218701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1518445 + ... + 1518515.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^107812080 is an apocalyptic number.

107812080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

107812080 is an abundant number, since it is smaller than the sum of its proper divisors (299304720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107812080 is a wasteful number, since it uses less digits than its factorization.

107812080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 107812080 is about 10383.2596038046. The cubic root of 107812080 is about 475.9439474519.

The spelling of 107812080 in words is "one hundred seven million, eight hundred twelve thousand, eighty".